16,132 reputation
24297
bio website sites.google.com/site/…
location University of Copenhagen
age 29
visits member for 5 years, 10 months
seen 2 hours ago

Aug
19
answered The line bundle of the divisor at infinity of the moduli stack of stable curves of genus $g \ge 2$
Aug
1
awarded  Enlightened
Aug
1
awarded  Nice Answer
Jul
30
comment What's the relationship between the different versions of the BBD decomposition theorem?
Regarding whether you can deduce Version 1.a from Version 1, I don't believe that there's a direct argument. What you need to know is that $f_\ast \mathrm{IC}_X \in D^b_c(Y)$ is actually constructible wrt the stratification $\{S_\lambda\}$.
Jul
30
comment What's the relationship between the different versions of the BBD decomposition theorem?
I agree with Ben Webster - what's your definition of geometric origin? I would say that $K$ is of geometric origin if it can be obtained from the trivial perverse sheaf over a point by applying the standard six functors and forming subquotients; in particular, every summand of $f_\ast K$ in Version 2 ought to be of geometric origin by definition, and the only nontrivial part of the statement is semisimplicity.
Jul
30
answered Do modular forms show up in the cohomology of moduli spaces of unmarked curves?
Jul
13
awarded  Nice Answer
Jun
26
comment Number of $\mathbb F_p$ points constant mod $p$?
A remark is that Fulton's trace formula only applies to compact $X$, whereas Allen is specifically considering affine varieties (whose coherent cohomology will be a bit uninformative).
Jun
26
answered Number of $\mathbb F_p$ points constant mod $p$?
Jun
16
revised Tate twist and comparison between Betti and de Rham cohomology
added 36 characters in body
Jun
16
answered Tate twist and comparison between Betti and de Rham cohomology
May
18
answered Extending the Abel-Jacobi map over the DM-compactification $\overline{\mathcal{M}}_2$?
May
13
awarded  Nice Answer
May
12
awarded  Nice Question
May
7
revised genus 2 Siegel theta series of 3-dimensional lattices
deleted 1 character in body
Apr
29
awarded  Deputy
Apr
29
awarded  Good Answer
Apr
20
reviewed Leave Open 'Stalk' of vanishing cycles at $k$-point
Apr
15
comment Identify ring of polynomials symmetric under forgetting variables
Should your equation say $p(x_1,\dots,x_{n-1},0)=p(x_1,\dots,x_{i-1},0,x_{i+1},\dots,x_{n})$?
Apr
12
comment Models for the moduli space $\overline{M}_{1,n}$
If you send me an e-mail I can send you Belorousski's thesis as pdf.